Gravity dual of conformal matter collisions in 1+1 dimensions

Abstract

We find the three-dimensional gravity dual of a process in which two clouds of (1+1)-dimensional conformal matter moving in opposite directions collide. This gives the most general conformally invariant holographic flow in the 1+1 dimensional boundary theory in terms of two arbitrary functions. With a suitable choice of the arbitrary functions the process can be interpreted as an opaque collision of two extended systems with central, fragmentation and interaction regions. Comparison with classical gluon field calculations relates the size of the system with the saturation scale.

19 pages, 5 figures, three references added, text modified accordingly, typos corrected

References in corpus (9)

• Nonlinear Fluid Dynamics from Gravity
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• Viscous hydrodynamics relaxation time from AdS/CFT
• Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence
• Baryon-charge Chemical Potential in AdS/CFT
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Unified description of Bjorken and Landau 1+1 hydrodynamics
• Gravity dual of 1+1 dimensional Bjorken expansion
• Bjorken flow from an AdS Schwarzschild black hole

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• Isotropic AdS/CFT fireball